Home
Class 12
MATHS
If the equation (1 + i)^(x) = 2^(x) , ha...

If the equation `(1 + i)^(x) = 2^(x)` , has integer solution , has the only integral solution is

A

0

B

2

C

3

D

1

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|93 Videos

  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise EXERCISE - I|49 Videos

  • CIRCLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|164 Videos

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise Exercise (Level-2)|38 Videos

Similar Questions

Explore conceptually related problems

If (1 + isqrt2)^(x) = 3^(x) , then its only integral solution is

The equation x-(2)/(x-1) =1-(2)/(x-1) has

y+x^(2)=(dy)/(dx) has the solution

If the equation cot^(4) x - 2 cosec^(2) x + a^(2) = 0 has at least one solution, then the sum of all possible ntergral values of a is equal to

The equation 3tan^(4)x-10tan^(2)x+3=0 has the solution set as

If the equation sin x(sin x + cos x)=k has real solutions then k may lie in the interval

(dy)/(dx) = xy + x + y +1 has the solution

Which of the following equation has the natural number as solution ?

The trigonometric equation Sin^(-1)x=2Sin^(-1)a , has a solution for

AAKASH SERIES-COMPLEX NUMBERS-EXERCISE -II
  1. If |z+ 4| le 3 then the maximum value of |z + 1|

    Text Solution

    |

  2. If |z(1)| = |z(2)| = |z(3)| = … |z(n)| = 1 , then |z(1) + z(2) + z(3) ...

    Text Solution

    |

  3. If the equation (1 + i)^(x) = 2^(x) , has integer solution , has the o...

    Text Solution

    |

  4. If z is a complex number satisfying z^(4) + z^(3) + 2z^(2) + z + 1 = 0...

    Text Solution

    |

  5. The complex number z satisfying z^(2) + |z| = 0 is

    Text Solution

    |

  6. If z is a complex number satisfying the relation |z+1| = z + 2 (1 +i) ...

    Text Solution

    |

  7. If z(1) , z(2) are conjugate complex numbers and z(3) , z(4) are also ...

    Text Solution

    |

  8. If z(z), z(2) are two non-zero complex numbers satisfying |z(2)+z(2)|=...

    Text Solution

    |

  9. If |z(1) + z(2)| = |z(1) - z(2)| then the difference in the arguments ...

    Text Solution

    |

  10. The mod-amplitude form of (1 + 7i)/((2 - i)^(2)) is

    Text Solution

    |

  11. The mod -amplitude form of 1+itan theta is

    Text Solution

    |

  12. Let z,w be complex number such that barz+ibarw=0 and arg zw =pi . Then...

    Text Solution

    |

  13. If (a(1) + ib(1)) (a(2) + ib(2)) … (a(n) + ib(n)) = A + iB then Tan^...

    Text Solution

    |

  14. If z and omega are two non-zero complex numbers such that |zomega| =1...

    Text Solution

    |

  15. If z is a complex number of unit modulus and argument theta then, arg ...

    Text Solution

    |

  16. sqrt(4ab - 2i (a^(2) - b^(2) ) =

    Text Solution

    |

  17. x + isqrt(x^(4) + x^(2) + 1)) =

    Text Solution

    |

  18. If sqrt(x+ iy) = pm (a + ib) then sqrt(x-iy) =

    Text Solution

    |

  19. (1 - omega) (1 - omega^(2)) (1 - omega^(4)) (1 - omega^(5)) (1 - omega...

    Text Solution

    |

  20. If omega is a imaginary cube root of unity , then 225 + (3 omega + 8 o...

    Text Solution

    |